Exact regularity of Bergman, Szegö and Sobolev space projections in non pseudoconvex domains

DOI10.1007/BF01162025zbMath0573.46018MaRDI QIDQ1063205

Emil J. Straube

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173720

zbMATH Keywords

Reinhardt domaintransverse symmetriesBergman and the Szegö projectionshigher order Sobolev space analogues of the Bergman projectionpseudoconvexity and completenessregularity estimates in Sobolev norms

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

On Hardy spaces on worm domains ⋮ A comparison between the Bergman and Szegö kernels of the non-smooth worm domain \(D'_{\beta }\) ⋮ Comparing the Bergman and the Szegö projections ⋮ Complete Hartogs domains in \({\mathbb{C}}^ 2\) have regular Bergman and Szegö projections ⋮ Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle ⋮ Exact regularity of the Bergman and the Szegö projections on domains with partially transverse symmetries ⋮ Sharp estimates for the Szegő projection on the distinguished boundary of model worm domains ⋮ Bergman projection on the symmetrized bidisk ⋮ Hardy spaces and the Szegő projection of the non-smooth worm domain \(D_\beta^\prime\) ⋮ Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary ⋮ On the canonical solution of \(\overline{\partial}\) on polydisks ⋮ A counterexample to the differentiability of the Bergman kernel function ⋮ Sobolev regularity of weighted Bergman projections on the unit disc ⋮ Mapping properties of weighted Bergman projection operators on Reinhardt domains ⋮ Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem

Cites Work

• Variation of the Bergman kernel by cutting a hole
• Regularity of the Bergman projection on domains with transverse symmetries
• Holomorphic reproducing kernels in Reinhardt domains
• Regularity of the Bergman projection and local geometry of domains
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• Action of the Automorphisms of a Smooth Domain in C n
• Sobolev Space Projections In Strictly Pseudoconvex Domains
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